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Factorize:
\( x^{3}+x-3 x^{2}-3 \)
Given :
\( x^{3}+x-3 x^{2}-3 \)
To do :
We have to factorize the given expression.
Solution :
$x^3 + x – 3x^2 – 3=x^3 – 3x^2 + x – 3$
$=x^2(x – 3) + 1(x – 3)$
$= (x – 3) (x^2 + 1)$
Hence, $x^3 + x – 3x^2 – 3=(x – 3) (x^2 + 1)$.
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